Recent Publications

1. arXiv:1807.10974 Polynomial Identities Implying Capparelli’s Partition Theorems, Alexander Berkovich, Ali Kemal Uncu. 15 pages.
2. arXiv:1708.01957 Some Elementary Partition Inequalities and Their Implications, Alexander Berkovich, Ali Kemal Uncu. 16 pages. (submitted)
3. arXiv:1705.07504 On some polynomials and series of Bloch-Polya Type, Alexander Berkovich, Ali Kemal Uncu. Proc. Amer. Math. Soc. 146 (2018), no. 7, 2827–2838.
4. arXiv:1608.00193 New Weighted Partition Theorems with the Emphasis on the Smallest Part of Partitions.  Alexander Berkovich, Ali Kemal Uncu. ALLADI60 2016: Analytic Number Theory, Modular Forms and q-Hypergeometric Series (2017) pp 69-94 Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 221)
5. arXiv:1605.00291 Variation on a theme of Nathan Fine. New weighted partition identities. Alexander Berkovich, Ali Kemal Uncu. J. Number Theory 176 (2017), 226–248.
6. arXiv:1603.00399 Weighted Rogers-Ramanujan Partitions and Dyson Crank. Ali Kemal Uncu, Ramanujan J. (2017)  Ramanujan J. 46 (2018), no. 2, 579–591.
7. arXiv:1510.07301 On partitions with fixed number of even-indexed and odd-indexed odd parts.  Alexander Berkovich, Ali Kemal Uncu. J. Number Theory 167 (2016), 7–30.
8. arXiv:1504.02922 A New Companion to Capparelli’s Identities. Alexander Berkovich, Ali Kemal Uncu. Adv. in Appl. Math. 71 (2015), 125–137.

Referee Work

• Advances in Applied Mathematics
• Journal of Combinatorial Theory – Series A
• Journal of Integer Sequences
• Ramanujan Journal
• Turkish Journal of Mathematics.

Reviewer for American Mathematical Society MathSciNet.